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Simplifying 2m3 + 4m6 = 6 Solving 2m3 + 4m6 = 6 Solving for variable 'm'. Reorder the terms: -6 + 2m3 + 4m6 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 2m3 + 4m6 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + m3 + 2m6) = 0 Factor a trinomial. 2((-3 + -2m3)(1 + -1m3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -2m3)' equal to zero and attempt to solve: Simplifying -3 + -2m3 = 0 Solving -3 + -2m3 = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2m3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2m3 = 0 + 3 -2m3 = 0 + 3 Combine like terms: 0 + 3 = 3 -2m3 = 3 Divide each side by '-2'. m3 = -1.5 Simplifying m3 = -1.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -1m3)' equal to zero and attempt to solve: Simplifying 1 + -1m3 = 0 Solving 1 + -1m3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m3 = 0 + -1 -1m3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1m3 = -1 Divide each side by '-1'. m3 = 1 Simplifying m3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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